Question

.
ABCD
is a rhombus of area
8root3 cm . If angle BAD= 60° , find the length of each side of the
rhombus.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Length of each side of rhombus is 2cm.

Given:

Area of rhombus = 8$\sqrt{3}$ cm

∠BAD = 60°

To find:

Length of each side of rhombus

Solution:

It can be seen that one interior angle is given

Area of rhombus = (side)² * sin(a)    [a is the value of any interior angle]

8$\sqrt{3}$ = (side)² * sin 60   [ The value of sin 60 is √3/2

8$\sqrt{3}$ = (side)² * $\sqrt{3} /2$

(8$\sqrt{3}$)/ \($\sqrt{3}$/2) = (side)²

8/2 = (side)²

4 = side²

Taking roots on both sides

√4 = side

side = 2

Hence, length of each side of rhombus is 2cm.

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